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Finding the Third Proportional to 169,866 and 367,412

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Solution

The third proportional to 169,866 and 367,412 is: 794,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,866 : 367,412 = 367,412 : x
  2. Step 2: Convert to fraction form
    169,866/367,412 = 367,412/x
  3. Step 3: Cross multiply
    169,866x = 367,412 × 367,412
  4. Step 4: Simplify right side
    169,866x = 134,991,577,744
  5. Step 5: Solve for x
    x = 134,991,577,744/169,866
  6. Step 6: Final answer
    x = 794,694.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.